One of the key concerns in the transmission of electricity is the power loss in transmission lines, dissipated as heat due to the resistance of the conductors.

High-voltage transmission lines are used to transmit electric power over long distances. Normally, high voltage (HV) transmission power lines are made of high voltage (between 138 and 765 kilovolts) conducting lines of copper and/or aluminum.

Assume the power to be transmitted is P, and the resistance of the transmission line is r.If the power is transmitted with voltage V, then the current flow through the transmission line is I=P/V.

The power loss Ploss=I2*r=(P/V)2*rSince P and r are fixed conditions, less power will be lost if high voltages V are used.

Some students will raise questions like: From Ohm's law. if the voltage is increased, the current will increase ,too. Why is the current smaller when high voltage is used to transmit the power.

Textbooks forgot to tell students that the transmission line needs a transformer to step down the voltage.And the transformer does not have a fixed impedance. If higher voltage is used to transmit the power, the ratio of the transformer will also change which will change the impedance of the transformer.The following applet was developed to help you understand the high power transmission line.

You can change the Power/Voltage V and resistance r in the transmission line with sliders.I will show current flow through the transmission line.Z is the total impedance of the transmission line, Zt is the impedance of the transformer.N:n shows the ratio of the high voltage transformer (Assume user voltage is 100V).Efficiency of the power line is also shown at the right side.

I hope this applet will help you understand more about the power transmission line. -*-

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The relation you assumed is under the assumption for an idea case: No power loss from the transformer: all the power are transformed. However, the above applet simulate real transformer: Some power are loss due to resistance in the transmission line.

One of the key concerns in the transmission of electricity is the power loss in transmission lines, dissipated as heat due to the resistance of the conductors.

High-voltage transmission lines are used to transmit electric power over long distances. Normally, high voltage (HV) transmission power lines are made of high voltage (between 138 and 765 kilovolts) conducting lines of copper and/or aluminum.

Assume the power to be transmitted is P, and the resistance of the transmission line is r.If the power is transmitted with voltage V, then the current flow through the transmission line is I=P/V.

The power loss Ploss=I2*r=(P/V)2*rSince P and r are fixed conditions, less power will be lost if high voltages V are used.

Some students will raise questions like: From Ohm's law. if the voltage is increased, the current will increase ,too. Why is the current smaller when high voltage is used to transmit the power.

Textbooks forgot to tell students that the transmission line needs a transformer to step down the voltage.And the transformer does not have a fixed impedance. If higher voltage is used to transmit the power, the ratio of the transformer will also change which will change the impedance of the transformer.The following applet was developed to help you understand the high power transmission line.

You can change the Power/Voltage V and resistance r in the transmission line with sliders.I will show current flow through the transmission line.Z is the total impedance of the transmission line, Zt is the impedance of the transformer.N:n shows the ratio of the high voltage transformer (Assume user voltage is 100V).Efficiency of the power line is also shown at the right side.

I hope this applet will help you understand more about the power transmission line. -*-

(1) For a amount of power transmission at higher voltage , If power is constant and voltage increases then current decreases.

Dimension of conductor and weight depend on current density, therefore lower conductor sizes would have lower weight and cost.

(2) Distance between two tower depends on conductor weight , therefore lower weight would have long span between two tower and higher weight would have short span between two tower .

therfore , lower weight would have cost advantage due to reduction of a number of tower or pole.

(3) Design and strength of tower should be according to weight and tensile strength of conductor because in limit of elasticity , force stress is directly proportional to the strain.

therefore , young modulus would have a ratio of force stress and strain.

Y= Force stress / strain (newton per meter^2)

According to young modulus , cost of higher young modulus tower will be higher than lower young modulus tower in proportional to tensile strength .

(4) Line losses = I^2 * R (in watt)

For higher voltage transmission line, line losses depend on circulating current and conductor resistance.Therefore , lower current would have lower losses and cost and higher current would have higher losses and cost.

(1) For a amount of power transmission at higher voltage , If power is constant and voltage increases then current decreases.

Dimension of conductor and weight depend on current density, therefore lower conductor sizes would have lower weight and cost.

(2) Distance between two tower depends on conductor weight , therefore lower weight would have long span between two tower and higher weight would have short span between two tower .

therfore, lower weight would have cost advantage due to reduction of a number of tower or pole.

(3) Design and strength of tower should be according to weight and tensile strength of conductor because in limit of elasticity , force stress is directly proportional to the strain. therefore , young modulus would have a ratio of force stress and strain.

Y= Force stress / strain (newton per meter^2)

According to young modulus , cost of higher young modulus tower will be higher than lower young modulus tower in proportional to tensile strength .

(4) Line losses = I^2 * R (in watt) For higher voltage transmission line, line losses depend on circulating current and conductor resistance.Therefore , lower current would have lower losses and cost and higher current would have higher losses and cost.